Developments in determining the gravitational potential using toroidal functions

DOI<363::AID-ASNA363>3.0.CO;2-X 10.1002/1521-3994(200012)321:5/6<363::AID-ASNA363>3.0.CO;2-XzbMath0990.70012OpenAlexW2087675354MaRDI QIDQ2704874

Joel E. Tohline, A. R. P. Rau, Howard S. Cohl, Hari M. Srivastava

Publication date: 20 March 2001

Full work available at URL: https://doi.org/10.1002/1521-3994(200012)321:5/6<363::aid-asna363>3.0.co;2-x

zbMATH Keywords

Green's functioncylindrical coordinatesintegrationsummationLaplace's equationtoroidal coordinatesspheroidal coordinatesparabolic coordinatesseparable solutionstoroidal functionsazimuthal Fourier series expansionrotationally invariant coordinate systems

Mathematics Subject Classification ID

Celestial mechanics (70F15)

Related Items (9)

Low-frequency electromagnetic scattering by a metal torus in a lossless medium with magnetic dipolar illumination ⋮ Expansions for a fundamental solution of Laplace's equation on ℝ³ in 5-cyclidic harmonics ⋮ Magnetic-field calculation for a high-temperature superconducting cryogenic current comparator ⋮ Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane ⋮ Peanut harmonic expansion for a fundamental solution of Laplace's equation in flat-ring coordinates ⋮ Internal and external harmonics in bi-cyclide coordinates ⋮ Derivatives with respect to the degree and order of associated Legendre functions for |z|>1 using modified Bessel functions ⋮ Exact Fourier expansion in cylindrical coordinates for the three-dimensional Helmholtz-Green function ⋮ Mathematical and numerical analysis of low-frequency scattering from a PEC ring torus in a conductive medium

Cites Work

• Symmetry and separation of variables for the Helmholtz and Laplace equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Developments in determining the gravitational potential using toroidal functions